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<div style="width: 640px">
<div id="charec-ducpham">
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                    <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-10-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-46" style="width: 0.623em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.499em; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(1.615em 999.982em 2.606em -0.555em); top: -2.228em; left: 0.003em;"><span class="mrow" id="MathJax-Span-47"><span class="mstyle" id="MathJax-Span-48"><span class="mrow" id="MathJax-Span-49"><span class="mi" id="MathJax-Span-50" style="font-family: MathJax_Math; font-style: italic;">ρ</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.235em;"></span></span></span><span style="border-left-width: 0.004em; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 0.979em; vertical-align: -0.296em;"></span></span></nobr></span><script type="math/asciimath" id="MathJax-Element-10">rho</script></button>
<button class="btn1" id="click1" onclick="formatText(document.getElementById(&#39;MathInput1&#39;),&#39;&#39;,&#39;phi&#39;) + formatText(document.getElementById(&#39;inputText&#39;),&#39;&#39;,&#39;`phi`&#39;)">
                    <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-11-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-51" style="width: 0.747em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.623em; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(1.615em 999.982em 2.668em -0.493em); top: -2.228em; left: 0.003em;"><span class="mrow" id="MathJax-Span-52"><span class="mstyle" id="MathJax-Span-53"><span class="mrow" id="MathJax-Span-54"><span class="mi" id="MathJax-Span-55" style="font-family: MathJax_Math; font-style: italic;">φ</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.235em;"></span></span></span><span style="border-left-width: 0.004em; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 0.979em; vertical-align: -0.371em;"></span></span></nobr></span><script type="math/asciimath" id="MathJax-Element-11">phi</script></button>
<button class="btn1" id="click1" onclick="formatText(document.getElementById(&#39;MathInput1&#39;),&#39;&#39;,&#39;omega&#39;) + formatText(document.getElementById(&#39;inputText&#39;),&#39;&#39;,&#39;`omega`&#39;)">
                    <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-12-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-56" style="width: 0.747em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.623em; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(1.615em 999.982em 2.42em -0.555em); top: -2.228em; left: 0.003em;"><span class="mrow" id="MathJax-Span-57"><span class="mstyle" id="MathJax-Span-58"><span class="mrow" id="MathJax-Span-59"><span class="mi" id="MathJax-Span-60" style="font-family: MathJax_Math; font-style: italic;">ω</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.235em;"></span></span></span><span style="border-left-width: 0.004em; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 0.679em; vertical-align: -0.071em;"></span></span></nobr></span><script type="math/asciimath" id="MathJax-Element-12">omega</script></button>
<button class="btn1" id="click1" onclick="formatText(document.getElementById(&#39;MathInput1&#39;),&#39;&#39;,&#39;lambda&#39;) + formatText(document.getElementById(&#39;inputText&#39;),&#39;&#39;,&#39;`lambda`&#39;)">
                    <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-13-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-61" style="width: 0.685em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.561em; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(1.367em 999.982em 2.42em -0.493em); top: -2.228em; left: 0.003em;"><span class="mrow" id="MathJax-Span-62"><span class="mstyle" id="MathJax-Span-63"><span class="mrow" id="MathJax-Span-64"><span class="mi" id="MathJax-Span-65" style="font-family: MathJax_Math; font-style: italic;">λ</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.235em;"></span></span></span><span style="border-left-width: 0.004em; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 0.979em; vertical-align: -0.071em;"></span></span></nobr></span><script type="math/asciimath" id="MathJax-Element-13">lambda</script></button>
<button class="btn1" id="click1" onclick="formatText(document.getElementById(&#39;MathInput1&#39;),&#39;&#39;,&#39;pi&#39;) + formatText(document.getElementById(&#39;inputText&#39;),&#39;&#39;,&#39;`pi`&#39;)">
                    <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-14-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-66" style="width: 0.747em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.623em; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(1.615em 999.982em 2.42em -0.555em); top: -2.228em; left: 0.003em;"><span class="mrow" id="MathJax-Span-67"><span class="mstyle" id="MathJax-Span-68"><span class="mrow" id="MathJax-Span-69"><span class="mi" id="MathJax-Span-70" style="font-family: MathJax_Math; font-style: italic;">π<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.235em;"></span></span></span><span style="border-left-width: 0.004em; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 0.679em; vertical-align: -0.071em;"></span></span></nobr></span><script type="math/asciimath" id="MathJax-Element-14">pi</script></button>
<button class="btn1" id="click1" onclick="formatText(document.getElementById(&#39;MathInput1&#39;),&#39;&#39;,&#39;nu&#39;) + formatText(document.getElementById(&#39;inputText&#39;),&#39;&#39;,&#39;`nu`&#39;)">
                    <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-15-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-71" style="width: 0.747em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.623em; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(1.615em 999.982em 2.42em -0.493em); top: -2.228em; left: 0.003em;"><span class="mrow" id="MathJax-Span-72"><span class="mstyle" id="MathJax-Span-73"><span class="mrow" id="MathJax-Span-74"><span class="mi" id="MathJax-Span-75" style="font-family: MathJax_Math; font-style: italic;">ν<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.065em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.235em;"></span></span></span><span style="border-left-width: 0.004em; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 0.679em; vertical-align: -0.071em;"></span></span></nobr></span><script type="math/asciimath" id="MathJax-Element-15">nu</script></button>
<button class="btn1" id="click1" onclick="formatText(document.getElementById(&#39;MathInput1&#39;),&#39;&#39;,&#39;theta&#39;) + formatText(document.getElementById(&#39;inputText&#39;),&#39;&#39;,&#39;`theta`&#39;)">
                    <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-16-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-76" style="width: 0.623em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.499em; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(1.367em 999.982em 2.42em -0.493em); top: -2.228em; left: 0.003em;"><span class="mrow" id="MathJax-Span-77"><span class="mstyle" id="MathJax-Span-78"><span class="mrow" id="MathJax-Span-79"><span class="mi" id="MathJax-Span-80" style="font-family: MathJax_Math; font-style: italic;">θ</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.235em;"></span></span></span><span style="border-left-width: 0.004em; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 1.054em; vertical-align: -0.071em;"></span></span></nobr></span><script type="math/asciimath" id="MathJax-Element-16">theta</script></button>
<button class="btn1" id="click1" onclick="formatText(document.getElementById(&#39;MathInput1&#39;),&#39;&#39;,&#39;kappa&#39;) + formatText(document.getElementById(&#39;inputText&#39;),&#39;&#39;,&#39;`kappa`&#39;)">
                    <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-17-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-81" style="width: 0.685em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.561em; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(1.615em 999.982em 2.42em -0.493em); top: -2.228em; left: 0.003em;"><span class="mrow" id="MathJax-Span-82"><span class="mstyle" id="MathJax-Span-83"><span class="mrow" id="MathJax-Span-84"><span class="mi" id="MathJax-Span-85" style="font-family: MathJax_Math; font-style: italic;">κ</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.235em;"></span></span></span><span style="border-left-width: 0.004em; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 0.679em; vertical-align: -0.071em;"></span></span></nobr></span><script type="math/asciimath" id="MathJax-Element-17">kappa</script></button>
<button class="btn1" id="click1" onclick="formatText(document.getElementById(&#39;MathInput1&#39;),&#39;&#39;,&#39;Delta&#39;) + formatText(document.getElementById(&#39;inputText&#39;),&#39;&#39;,&#39;`Delta`&#39;)">
                    <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-18-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-86" style="width: 1.305em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(1.305em 999.982em 2.42em -0.493em); top: -2.228em; left: 0.003em;"><span class="mrow" id="MathJax-Span-87"><span class="mstyle" id="MathJax-Span-88"><span class="mrow" id="MathJax-Span-89"><span class="mo" id="MathJax-Span-90" style="font-family: MathJax_Main;">Δ</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.235em;"></span></span></span><span style="border-left-width: 0.004em; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 1.054em; vertical-align: -0.071em;"></span></span></nobr></span><script type="math/asciimath" id="MathJax-Element-18">Delta</script></button>
<button class="btn1" id="click1" onclick="formatText(document.getElementById(&#39;MathInput1&#39;),&#39;&#39;,&#39;Omega&#39;) + formatText(document.getElementById(&#39;inputText&#39;),&#39;&#39;,&#39;`Omega`&#39;)">
                    <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-19-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-91" style="width: 1.243em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.995em; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(1.367em 999.982em 2.42em -0.493em); top: -2.228em; left: 0.003em;"><span class="mrow" id="MathJax-Span-92"><span class="mstyle" id="MathJax-Span-93"><span class="mrow" id="MathJax-Span-94"><span class="mo" id="MathJax-Span-95" style="font-family: MathJax_Main;">Ω</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.235em;"></span></span></span><span style="border-left-width: 0.004em; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 0.979em; vertical-align: -0.071em;"></span></span></nobr></span><script type="math/asciimath" id="MathJax-Element-19">Omega</script></button>
<button class="btn1" id="click1" onclick="formatText(document.getElementById(&#39;MathInput1&#39;),&#39;&#39;,&#39;Phi&#39;) + formatText(document.getElementById(&#39;inputText&#39;),&#39;&#39;,&#39;`Phi`&#39;)">
                    <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-20-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-96" style="width: 1.243em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.995em; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(1.367em 999.982em 2.42em -0.493em); top: -2.228em; left: 0.003em;"><span class="mrow" id="MathJax-Span-97"><span class="mstyle" id="MathJax-Span-98"><span class="mrow" id="MathJax-Span-99"><span class="mo" id="MathJax-Span-100" style="font-family: MathJax_Main;">Φ</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.235em;"></span></span></span><span style="border-left-width: 0.004em; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 0.979em; vertical-align: -0.071em;"></span></span></nobr></span><script type="math/asciimath" id="MathJax-Element-20">Phi</script></button>
<button class="btn1" id="click1" onclick="formatText(document.getElementById(&#39;MathInput1&#39;),&#39;&#39;,&#39;grad&#39;) + formatText(document.getElementById(&#39;inputText&#39;),&#39;&#39;,&#39;`grad`&#39;)">
                    <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-21-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-101" style="width: 1.305em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(1.367em 999.982em 2.482em -0.493em); top: -2.228em; left: 0.003em;"><span class="mrow" id="MathJax-Span-102"><span class="mstyle" id="MathJax-Span-103"><span class="mrow" id="MathJax-Span-104"><span class="mo" id="MathJax-Span-105" style="font-family: MathJax_Main;">∇</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.235em;"></span></span></span><span style="border-left-width: 0.004em; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 1.054em; vertical-align: -0.146em;"></span></span></nobr></span><script type="math/asciimath" id="MathJax-Element-21">grad</script></button>
<button class="btn1" id="click1" onclick="formatText(document.getElementById(&#39;MathInput1&#39;),&#39;&#39;,&#39;oo&#39;) + formatText(document.getElementById(&#39;inputText&#39;),&#39;&#39;,&#39;`oo`&#39;)">
                    <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-22-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-106" style="width: 1.553em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.243em; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(1.615em 999.982em 2.42em -0.493em); top: -2.228em; left: 0.003em;"><span class="mrow" id="MathJax-Span-107"><span class="mstyle" id="MathJax-Span-108"><span class="mrow" id="MathJax-Span-109"><span class="mo" id="MathJax-Span-110" style="font-family: MathJax_Main;">∞</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.235em;"></span></span></span><span style="border-left-width: 0.004em; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 0.679em; vertical-align: -0.071em;"></span></span></nobr></span><script type="math/asciimath" id="MathJax-Element-22">oo</script></button>
<button class="btn1" id="click1" onclick="formatText(document.getElementById(&#39;MathInput1&#39;),&#39;&#39;,&#39;prop&#39;) + formatText(document.getElementById(&#39;inputText&#39;),&#39;&#39;,&#39;`prop`&#39;)">
                    <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-23-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-111" style="width: 1.243em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.995em; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(1.615em 999.982em 2.42em -0.493em); top: -2.228em; left: 0.003em;"><span class="mrow" id="MathJax-Span-112"><span class="mstyle" id="MathJax-Span-113"><span class="mrow" id="MathJax-Span-114"><span class="mo" id="MathJax-Span-115" style="font-family: MathJax_Main;">∝</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.235em;"></span></span></span><span style="border-left-width: 0.004em; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 0.679em; vertical-align: -0.071em;"></span></span></nobr></span><script type="math/asciimath" id="MathJax-Element-23">prop</script></button>
<button class="btn1" id="click1" onclick="formatText(document.getElementById(&#39;MathInput1&#39;),&#39;&#39;,&#39;!=&#39;) + formatText(document.getElementById(&#39;inputText&#39;),&#39;&#39;,&#39;`!=`&#39;)">
                    <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-24-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-116" style="width: 1.243em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.995em; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(1.305em 999.982em 2.606em -0.493em); top: -2.228em; left: 0.003em;"><span class="mrow" id="MathJax-Span-117"><span class="mstyle" id="MathJax-Span-118"><span class="mrow" id="MathJax-Span-119"><span class="mo" id="MathJax-Span-120" style="font-family: MathJax_Main;">≠</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.235em;"></span></span></span><span style="border-left-width: 0.004em; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 1.279em; vertical-align: -0.296em;"></span></span></nobr></span><script type="math/asciimath" id="MathJax-Element-24">!=</script></button>
<button class="btn1" id="click1" onclick="formatText(document.getElementById(&#39;MathInput1&#39;),&#39;&#39;,&#39;&gt;=&#39;) + formatText(document.getElementById(&#39;inputText&#39;),&#39;&#39;,&#39;`&gt;=`&#39;)">
                    <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-25-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-121" style="width: 1.243em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.995em; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(1.429em 999.982em 2.544em -0.493em); top: -2.228em; left: 0.003em;"><span class="mrow" id="MathJax-Span-122"><span class="mstyle" id="MathJax-Span-123"><span class="mrow" id="MathJax-Span-124"><span class="mo" id="MathJax-Span-125" style="font-family: MathJax_Main;">≥</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.235em;"></span></span></span><span style="border-left-width: 0.004em; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 1.054em; vertical-align: -0.221em;"></span></span></nobr></span><script type="math/asciimath" id="MathJax-Element-25">>=</script></button>
<button class="btn1" id="click1" onclick="formatText(document.getElementById(&#39;MathInput1&#39;),&#39;&#39;,&#39;&lt;=&#39;) + formatText(document.getElementById(&#39;inputText&#39;),&#39;&#39;,&#39;`&lt;=`&#39;)">
                    <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-26-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-126" style="width: 1.243em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.995em; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(1.429em 999.982em 2.544em -0.493em); top: -2.228em; left: 0.003em;"><span class="mrow" id="MathJax-Span-127"><span class="mstyle" id="MathJax-Span-128"><span class="mrow" id="MathJax-Span-129"><span class="mo" id="MathJax-Span-130" style="font-family: MathJax_Main;">≤</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.235em;"></span></span></span><span style="border-left-width: 0.004em; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 1.054em; vertical-align: -0.221em;"></span></span></nobr></span><script type="math/asciimath" id="MathJax-Element-26"><=</script></button>
<button class="btn1" id="click1" onclick="formatText(document.getElementById(&#39;MathInput1&#39;),&#39;&#39;,&#39;in&#39;) + formatText(document.getElementById(&#39;inputText&#39;),&#39;&#39;,&#39;`in`&#39;)">
                    <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-27-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-131" style="width: 1.119em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.933em; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(1.491em 999.982em 2.482em -0.493em); top: -2.228em; left: 0.003em;"><span class="mrow" id="MathJax-Span-132"><span class="mstyle" id="MathJax-Span-133"><span class="mrow" id="MathJax-Span-134"><span class="mo" id="MathJax-Span-135" style="font-family: MathJax_Main;">∈</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.235em;"></span></span></span><span style="border-left-width: 0.004em; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 0.829em; vertical-align: -0.146em;"></span></span></nobr></span><script type="math/asciimath" id="MathJax-Element-27">in</script></button>
<button class="btn1" id="click1" onclick="formatText(document.getElementById(&#39;MathInput1&#39;),&#39;&#39;,&#39;!in&#39;) + formatText(document.getElementById(&#39;inputText&#39;),&#39;&#39;,&#39;`!in`&#39;)">
                    <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-28-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-136" style="width: 1.119em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.933em; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(1.305em 999.982em 2.606em -0.493em); top: -2.228em; left: 0.003em;"><span class="mrow" id="MathJax-Span-137"><span class="mstyle" id="MathJax-Span-138"><span class="mrow" id="MathJax-Span-139"><span class="mo" id="MathJax-Span-140" style="font-family: MathJax_Main;">∉</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.235em;"></span></span></span><span style="border-left-width: 0.004em; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 1.279em; vertical-align: -0.296em;"></span></span></nobr></span><script type="math/asciimath" id="MathJax-Element-28">!in</script></button>
<button class="btn1" id="click1" onclick="formatText(document.getElementById(&#39;MathInput1&#39;),&#39;&#39;,&#39;~~&#39;) + formatText(document.getElementById(&#39;inputText&#39;),&#39;&#39;,&#39;`~~`&#39;)">
                    <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-29-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-141" style="width: 1.243em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.995em; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(1.553em 999.982em 2.358em -0.493em); top: -2.228em; left: 0.003em;"><span class="mrow" id="MathJax-Span-142"><span class="mstyle" id="MathJax-Span-143"><span class="mrow" id="MathJax-Span-144"><span class="mo" id="MathJax-Span-145" style="font-family: MathJax_Main;">≈</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.235em;"></span></span></span><span style="border-left-width: 0.004em; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 0.679em; vertical-align: 0.004em;"></span></span></nobr></span><script type="math/asciimath" id="MathJax-Element-29">~~</script></button>
<button class="btn1" id="click1" onclick="formatText(document.getElementById(&#39;MathInput1&#39;),&#39;&#39;,&#39;AA&#39;) + formatText(document.getElementById(&#39;inputText&#39;),&#39;&#39;,&#39;`AA`&#39;)">
                    <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-30-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-146" style="width: 0.995em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.809em; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(1.367em 999.982em 2.42em -0.555em); top: -2.228em; left: 0.003em;"><span class="mrow" id="MathJax-Span-147"><span class="mstyle" id="MathJax-Span-148"><span class="mrow" id="MathJax-Span-149"><span class="mo" id="MathJax-Span-150" style="font-family: MathJax_Main;">∀</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.235em;"></span></span></span><span style="border-left-width: 0.004em; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 1.054em; vertical-align: -0.071em;"></span></span></nobr></span><script type="math/asciimath" id="MathJax-Element-30">AA</script></button>
<button class="btn1" id="click1" onclick="formatText(document.getElementById(&#39;MathInput1&#39;),&#39;&#39;,&#39;sub&#39;) + formatText(document.getElementById(&#39;inputText&#39;),&#39;&#39;,&#39;`sub`&#39;)">
                    <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-31-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-151" style="width: 1.243em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.995em; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(1.491em 999.982em 2.482em -0.493em); top: -2.228em; left: 0.003em;"><span class="mrow" id="MathJax-Span-152"><span class="mstyle" id="MathJax-Span-153"><span class="mrow" id="MathJax-Span-154"><span class="mo" id="MathJax-Span-155" style="font-family: MathJax_Main;">⊂</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.235em;"></span></span></span><span style="border-left-width: 0.004em; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 0.829em; vertical-align: -0.146em;"></span></span></nobr></span><script type="math/asciimath" id="MathJax-Element-31">sub</script></button>
<button class="btn1" id="click1" onclick="formatText(document.getElementById(&#39;MathInput1&#39;),&#39;&#39;,&#39;sup&#39;) + formatText(document.getElementById(&#39;inputText&#39;),&#39;&#39;,&#39;`sup`&#39;)">
                    <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-32-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-156" style="width: 1.243em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.995em; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(1.491em 999.982em 2.482em -0.493em); top: -2.228em; left: 0.003em;"><span class="mrow" id="MathJax-Span-157"><span class="mstyle" id="MathJax-Span-158"><span class="mrow" id="MathJax-Span-159"><span class="mo" id="MathJax-Span-160" style="font-family: MathJax_Main;">⊃</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.235em;"></span></span></span><span style="border-left-width: 0.004em; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 0.829em; vertical-align: -0.146em;"></span></span></nobr></span><script type="math/asciimath" id="MathJax-Element-32">sup</script></button>
<button class="btn1" id="click1" onclick="formatText(document.getElementById(&#39;MathInput1&#39;),&#39;&#39;,&#39;_|_&#39;) + formatText(document.getElementById(&#39;inputText&#39;),&#39;&#39;,&#39;`_|_`&#39;)">
                    <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-33-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-161" style="width: 1.243em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.995em; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(1.367em 999.982em 2.42em -0.493em); top: -2.228em; left: 0.003em;"><span class="mrow" id="MathJax-Span-162"><span class="mstyle" id="MathJax-Span-163"><span class="mrow" id="MathJax-Span-164"><span class="mo" id="MathJax-Span-165" style="font-family: MathJax_Main;">⊥</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.235em;"></span></span></span><span style="border-left-width: 0.004em; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 0.979em; vertical-align: -0.071em;"></span></span></nobr></span><script type="math/asciimath" id="MathJax-Element-33">_|_</script></button>
<button class="btn1" id="click1" onclick="formatText(document.getElementById(&#39;MathInput1&#39;),&#39;&#39;,&#39;/_&#39;) + formatText(document.getElementById(&#39;inputText&#39;),&#39;&#39;,&#39;`/_`&#39;)">
                    <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-34-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-166" style="width: 1.243em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.995em; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(1.367em 999.982em 2.42em -0.493em); top: -2.228em; left: 0.003em;"><span class="mrow" id="MathJax-Span-167"><span class="mstyle" id="MathJax-Span-168"><span class="mrow" id="MathJax-Span-169"><span class="mo" id="MathJax-Span-170" style="font-family: MathJax_Main;">∠</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.235em;"></span></span></span><span style="border-left-width: 0.004em; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 0.979em; vertical-align: -0.071em;"></span></span></nobr></span><script type="math/asciimath" id="MathJax-Element-34">/_</script></button>
<button class="btn1" id="click1" onclick="formatText(document.getElementById(&#39;MathInput1&#39;),&#39;&#39;,&#39;vdots&#39;) + formatText(document.getElementById(&#39;inputText&#39;),&#39;&#39;,&#39;`vdots`&#39;)">
                    <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-35-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-171" style="width: 0.623em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.499em; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(0.747em 999.982em 2.42em -0.493em); top: -2.228em; left: 0.003em;"><span class="mrow" id="MathJax-Span-172"><span class="mstyle" id="MathJax-Span-173"><span class="mrow" id="MathJax-Span-174"><span class="mo" id="MathJax-Span-175" style="font-family: MathJax_Main;">⋮</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.235em;"></span></span></span><span style="border-left-width: 0.004em; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 1.729em; vertical-align: -0.071em;"></span></span></nobr></span><script type="math/asciimath" id="MathJax-Element-35">vdots</script></button>
<button class="btn1" id="click1" onclick="formatText(document.getElementById(&#39;MathInput1&#39;),&#39;&#39;,&#39;+-&#39;) + formatText(document.getElementById(&#39;inputText&#39;),&#39;&#39;,&#39;`+-`&#39;)">
                    <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-36-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-176" style="width: 1.243em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.995em; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(1.367em 999.982em 2.42em -0.493em); top: -2.228em; left: 0.003em;"><span class="mrow" id="MathJax-Span-177"><span class="mstyle" id="MathJax-Span-178"><span class="mrow" id="MathJax-Span-179"><span class="mo" id="MathJax-Span-180" style="font-family: MathJax_Main;">±</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.235em;"></span></span></span><span style="border-left-width: 0.004em; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 0.979em; vertical-align: -0.071em;"></span></span></nobr></span><script type="math/asciimath" id="MathJax-Element-36">+-</script></button>
<button class="btn1" id="click1" onclick="formatText(document.getElementById(&#39;MathInput1&#39;),&#39;&#39;,&#39;-&gt;&#39;) + formatText(document.getElementById(&#39;inputText&#39;),&#39;&#39;,&#39;`-&gt;`&#39;)">
                    <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-37-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-181" style="width: 1.553em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.243em; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(1.553em 999.982em 2.42em -0.493em); top: -2.228em; left: 0.003em;"><span class="mrow" id="MathJax-Span-182"><span class="mstyle" id="MathJax-Span-183"><span class="mrow" id="MathJax-Span-184"><span class="mo" id="MathJax-Span-185" style="font-family: MathJax_Main;">→</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.235em;"></span></span></span><span style="border-left-width: 0.004em; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 0.754em; vertical-align: -0.071em;"></span></span></nobr></span><script type="math/asciimath" id="MathJax-Element-37">-></script></button>
<button class="btn1" id="click1" onclick="formatText(document.getElementById(&#39;MathInput1&#39;),&#39;&#39;,&#39;larr&#39;) + formatText(document.getElementById(&#39;inputText&#39;),&#39;&#39;,&#39;`larr`&#39;)">
                    <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-38-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-186" style="width: 1.553em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.243em; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(1.553em 999.982em 2.42em -0.493em); top: -2.228em; left: 0.003em;"><span class="mrow" id="MathJax-Span-187"><span class="mstyle" id="MathJax-Span-188"><span class="mrow" id="MathJax-Span-189"><span class="mo" id="MathJax-Span-190" style="font-family: MathJax_Main;">←</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.235em;"></span></span></span><span style="border-left-width: 0.004em; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 0.754em; vertical-align: -0.071em;"></span></span></nobr></span><script type="math/asciimath" id="MathJax-Element-38">larr</script></button>
<button class="btn1" id="click1" onclick="formatText(document.getElementById(&#39;MathInput1&#39;),&#39;&#39;,&#39;harr&#39;) + formatText(document.getElementById(&#39;inputText&#39;),&#39;&#39;,&#39;`harr`&#39;)">
                    <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-39-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-191" style="width: 1.553em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.243em; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(1.553em 999.982em 2.42em -0.493em); top: -2.228em; left: 0.003em;"><span class="mrow" id="MathJax-Span-192"><span class="mstyle" id="MathJax-Span-193"><span class="mrow" id="MathJax-Span-194"><span class="mo" id="MathJax-Span-195" style="font-family: MathJax_Main;">↔</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.235em;"></span></span></span><span style="border-left-width: 0.004em; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 0.754em; vertical-align: -0.071em;"></span></span></nobr></span><script type="math/asciimath" id="MathJax-Element-39">harr</script></button>
<button class="btn1" id="click1" onclick="formatText(document.getElementById(&#39;MathInput1&#39;),&#39;&#39;,&#39;=&gt;&#39;) + formatText(document.getElementById(&#39;inputText&#39;),&#39;&#39;,&#39;`=&gt;`&#39;)">
                    <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-40-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-196" style="width: 1.553em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.243em; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(1.553em 999.982em 2.42em -0.493em); top: -2.228em; left: 0.003em;"><span class="mrow" id="MathJax-Span-197"><span class="mstyle" id="MathJax-Span-198"><span class="mrow" id="MathJax-Span-199"><span class="mo" id="MathJax-Span-200" style="font-family: MathJax_Main;">⇒</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.235em;"></span></span></span><span style="border-left-width: 0.004em; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 0.829em; vertical-align: -0.071em;"></span></span></nobr></span><script type="math/asciimath" id="MathJax-Element-40">=></script></button>
<button class="btn1" id="click1" onclick="formatText(document.getElementById(&#39;MathInput1&#39;),&#39;&#39;,&#39;lArr&#39;) + formatText(document.getElementById(&#39;inputText&#39;),&#39;&#39;,&#39;`lArr`&#39;)">
                    <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-41-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-201" style="width: 1.553em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.243em; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(1.553em 999.982em 2.42em -0.493em); top: -2.228em; left: 0.003em;"><span class="mrow" id="MathJax-Span-202"><span class="mstyle" id="MathJax-Span-203"><span class="mrow" id="MathJax-Span-204"><span class="mo" id="MathJax-Span-205" style="font-family: MathJax_Main;">⇐</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.235em;"></span></span></span><span style="border-left-width: 0.004em; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 0.829em; vertical-align: -0.071em;"></span></span></nobr></span><script type="math/asciimath" id="MathJax-Element-41">lArr</script></button>
<button class="btn1" id="click1" onclick="formatText(document.getElementById(&#39;MathInput1&#39;),&#39;&#39;,&#39;&lt;=&gt;&#39;) + formatText(document.getElementById(&#39;inputText&#39;),&#39;&#39;,&#39;`&lt;=&gt;`&#39;)">
                    <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-42-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-206" style="width: 1.553em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.243em; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(1.553em 999.982em 2.42em -0.493em); top: -2.228em; left: 0.003em;"><span class="mrow" id="MathJax-Span-207"><span class="mstyle" id="MathJax-Span-208"><span class="mrow" id="MathJax-Span-209"><span class="mo" id="MathJax-Span-210" style="font-family: MathJax_Main;">⇔</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.235em;"></span></span></span><span style="border-left-width: 0.004em; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 0.829em; vertical-align: -0.071em;"></span></span></nobr></span><script type="math/asciimath" id="MathJax-Element-42"><=></script></button>
<button class="btn1" id="click1" onclick="formatText(document.getElementById(&#39;MathInput1&#39;),&#39;&#39;,&#39;uarr&#39;) + formatText(document.getElementById(&#39;inputText&#39;),&#39;&#39;,&#39;`uarr`&#39;)">
                    <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-43-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-211" style="width: 0.933em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.747em; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(1.367em 999.982em 2.606em -0.555em); top: -2.228em; left: 0.003em;"><span class="mrow" id="MathJax-Span-212"><span class="mstyle" id="MathJax-Span-213" style=""><span class="mrow" id="MathJax-Span-214"><span class="mo" id="MathJax-Span-215" style="vertical-align: 0.003em;"><span style="font-family: MathJax_Main;">↑</span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.235em;"></span></span></span><span style="border-left-width: 0.004em; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 1.204em; vertical-align: -0.296em;"></span></span></nobr></span><script type="math/asciimath" id="MathJax-Element-43">uarr</script></button>
<button class="btn1" id="click1" onclick="formatText(document.getElementById(&#39;MathInput1&#39;),&#39;&#39;,&#39;darr&#39;) + formatText(document.getElementById(&#39;inputText&#39;),&#39;&#39;,&#39;`darr`&#39;)">
                    <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-44-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-216" style="width: 0.933em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.747em; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(1.367em 999.982em 2.606em -0.555em); top: -2.228em; left: 0.003em;"><span class="mrow" id="MathJax-Span-217"><span class="mstyle" id="MathJax-Span-218" style=""><span class="mrow" id="MathJax-Span-219"><span class="mo" id="MathJax-Span-220" style=""><span style="font-family: MathJax_Main;">↓</span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.235em;"></span></span></span><span style="border-left-width: 0.004em; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 1.204em; vertical-align: -0.296em;"></span></span></nobr></span><script type="math/asciimath" id="MathJax-Element-44">darr</script></button>
<button class="btn1" id="click1" onclick="formatText(document.getElementById(&#39;MathInput1&#39;),&#39;&#39;,&#39;NN&#39;) + formatText(document.getElementById(&#39;inputText&#39;),&#39;&#39;,&#39;`NN`&#39;)">
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<button class="btn1" id="click1" onclick="formatText(document.getElementById(&#39;MathInput1&#39;),&#39;&#39;,&#39;QQ&#39;) + formatText(document.getElementById(&#39;inputText&#39;),&#39;&#39;,&#39;`QQ`&#39;)">
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<button class="btn1" id="click1" onclick="formatText(document.getElementById(&#39;MathInput1&#39;),&#39;&#39;,&#39;RR&#39;) + formatText(document.getElementById(&#39;inputText&#39;),&#39;&#39;,&#39;`RR`&#39;)">
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<button class="btn1" id="click1" onclick="formatText(document.getElementById(&#39;MathInput1&#39;),&#39;&#39;,&#39;CC&#39;) + formatText(document.getElementById(&#39;inputText&#39;),&#39;&#39;,&#39;`CC`&#39;)">
                    <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-48-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-236" style="width: 0.933em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.747em; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(1.553em 999.982em 2.606em -0.493em); top: -2.414em; left: 0.003em;"><span class="mrow" id="MathJax-Span-237"><span class="mstyle" id="MathJax-Span-238"><span class="mrow" id="MathJax-Span-239"><span class="mo" id="MathJax-Span-240" style="font-family: MathJax_AMS;">C</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.42em;"></span></span></span><span style="border-left-width: 0.004em; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 1.054em; vertical-align: -0.071em;"></span></span></nobr></span><script type="math/asciimath" id="MathJax-Element-48">CC</script></button>
<button class="btn1" id="click1" onclick="formatText(document.getElementById(&#39;MathInput1&#39;),&#39;&#39;,&#39;ZZ&#39;) + formatText(document.getElementById(&#39;inputText&#39;),&#39;&#39;,&#39;`ZZ`&#39;)">
                    <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-49-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-241" style="width: 0.871em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.685em; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(1.553em 999.982em 2.606em -0.555em); top: -2.414em; left: 0.003em;"><span class="mrow" id="MathJax-Span-242"><span class="mstyle" id="MathJax-Span-243"><span class="mrow" id="MathJax-Span-244"><span class="mo" id="MathJax-Span-245" style="font-family: MathJax_AMS;">Z</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.42em;"></span></span></span><span style="border-left-width: 0.004em; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 0.979em; vertical-align: -0.071em;"></span></span></nobr></span><script type="math/asciimath" id="MathJax-Element-49">ZZ</script></button>
<button class="btn1" id="click1" onclick="formatText(document.getElementById(&#39;MathInput1&#39;),&#39;&#39;,&#39;+&#39;) + formatText(document.getElementById(&#39;inputText&#39;),&#39;&#39;,&#39;`+`&#39;)">
                    <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-50-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-246" style="width: 1.243em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.995em; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(1.491em 999.982em 2.482em -0.493em); top: -2.228em; left: 0.003em;"><span class="mrow" id="MathJax-Span-247"><span class="mstyle" id="MathJax-Span-248"><span class="mrow" id="MathJax-Span-249"><span class="mo" id="MathJax-Span-250" style="font-family: MathJax_Main;">+</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.235em;"></span></span></span><span style="border-left-width: 0.004em; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 0.979em; vertical-align: -0.146em;"></span></span></nobr></span><script type="math/asciimath" id="MathJax-Element-50">+</script></button>
<button class="btn1" id="click1" onclick="formatText(document.getElementById(&#39;MathInput1&#39;),&#39;&#39;,&#39;-&#39;) + formatText(document.getElementById(&#39;inputText&#39;),&#39;&#39;,&#39;`-`&#39;)">
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<button class="btn1" id="click1" onclick="formatText(document.getElementById(&#39;MathInput1&#39;),&#39;&#39;,&#39;*&#39;) + formatText(document.getElementById(&#39;inputText&#39;),&#39;&#39;,&#39;`*`&#39;)">
                    <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-52-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-256" style="width: 0.623em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.499em; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(1.739em 999.982em 2.235em -0.493em); top: -2.228em; left: 0.003em;"><span class="mrow" id="MathJax-Span-257"><span class="mstyle" id="MathJax-Span-258"><span class="mrow" id="MathJax-Span-259"><span class="mo" id="MathJax-Span-260" style="font-family: MathJax_Main;">⋅</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.235em;"></span></span></span><span style="border-left-width: 0.004em; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 0.304em; vertical-align: 0.154em;"></span></span></nobr></span><script type="math/asciimath" id="MathJax-Element-52">*</script></button>
<button class="btn1" id="click1" onclick="formatText(document.getElementById(&#39;MathInput1&#39;),&#39;&#39;,&#39;-:&#39;) + formatText(document.getElementById(&#39;inputText&#39;),&#39;&#39;,&#39;`-:`&#39;)">
                    <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-53-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-261" style="width: 1.243em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.995em; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(1.491em 999.982em 2.482em -0.493em); top: -2.228em; left: 0.003em;"><span class="mrow" id="MathJax-Span-262"><span class="mstyle" id="MathJax-Span-263"><span class="mrow" id="MathJax-Span-264"><span class="mo" id="MathJax-Span-265" style="font-family: MathJax_Main;">÷</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.235em;"></span></span></span><span style="border-left-width: 0.004em; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 0.829em; vertical-align: -0.146em;"></span></span></nobr></span><script type="math/asciimath" id="MathJax-Element-53">-:</script></button>
<button class="btn1" id="click1" onclick="formatText(document.getElementById(&#39;MathInput1&#39;),&#39;&#39;,&#39;xx&#39;) + formatText(document.getElementById(&#39;inputText&#39;),&#39;&#39;,&#39;`xx`&#39;)">
                    <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-54-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-266" style="width: 1.243em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.995em; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(1.553em 999.982em 2.42em -0.431em); top: -2.228em; left: 0.003em;"><span class="mrow" id="MathJax-Span-267"><span class="mstyle" id="MathJax-Span-268"><span class="mrow" id="MathJax-Span-269"><span class="mo" id="MathJax-Span-270" style="font-family: MathJax_Main;">×</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.235em;"></span></span></span><span style="border-left-width: 0.004em; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 0.754em; vertical-align: -0.071em;"></span></span></nobr></span><script type="math/asciimath" id="MathJax-Element-54">xx</script></button>
<button class="btn1" id="click1" onclick="formatText(document.getElementById(&#39;MathInput1&#39;),&#39;&#39;,&#39;a^2&#39;) + formatText(document.getElementById(&#39;inputText&#39;),&#39;&#39;,&#39;`a^2`&#39;)">
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<button class="btn1" id="click1" onclick="formatText(document.getElementById(&#39;MathInput1&#39;),&#39;&#39;,&#39;a_2&#39;) + formatText(document.getElementById(&#39;inputText&#39;),&#39;&#39;,&#39;`a_2`&#39;)">
                    <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-56-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-278" style="width: 1.367em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.119em; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(1.615em 999.982em 2.544em -0.493em); top: -2.228em; left: 0.003em;"><span class="mrow" id="MathJax-Span-279"><span class="mstyle" id="MathJax-Span-280"><span class="mrow" id="MathJax-Span-281"><span class="msub" id="MathJax-Span-282"><span style="display: inline-block; position: relative; width: 0.933em; height: 0px;"><span style="position: absolute; clip: rect(1.615em 999.982em 2.42em -0.493em); top: -2.228em; left: 0.003em;"><span class="mi" id="MathJax-Span-283" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 2.235em;"></span></span><span style="position: absolute; top: -2.104em; left: 0.499em;"><span class="mn" id="MathJax-Span-284" style="font-size: 70.7%; font-family: MathJax_Main;">2</span><span style="display: inline-block; width: 0px; height: 2.235em;"></span></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.235em;"></span></span></span><span style="border-left-width: 0.004em; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 0.904em; vertical-align: -0.221em;"></span></span></nobr></span><script type="math/asciimath" id="MathJax-Element-56">a_2</script></button>
<button class="btn1" id="click1" onclick="formatText(document.getElementById(&#39;MathInput1&#39;),&#39;&#39;,&#39;a_2^3&#39;) + formatText(document.getElementById(&#39;inputText&#39;),&#39;&#39;,&#39;`a_2^3`&#39;)">
                    <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-57-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-285" style="width: 1.243em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.995em; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(1.243em 999.982em 2.73em -0.493em); top: -2.228em; left: 0.003em;"><span class="mrow" id="MathJax-Span-286"><span class="mstyle" id="MathJax-Span-287"><span class="mrow" id="MathJax-Span-288"><span class="mrow" id="MathJax-Span-289"><span class="msubsup" id="MathJax-Span-290"><span style="display: inline-block; position: relative; width: 0.933em; height: 0px;"><span style="position: absolute; clip: rect(1.615em 999.982em 2.42em -0.493em); top: -2.228em; left: 0.003em;"><span class="mi" id="MathJax-Span-291" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 2.235em;"></span></span><span style="position: absolute; clip: rect(1.553em 999.982em 2.42em -0.555em); top: -2.6em; left: 0.499em;"><span class="mn" id="MathJax-Span-292" style="font-size: 70.7%; font-family: MathJax_Main;">3</span><span style="display: inline-block; width: 0px; height: 2.235em;"></span></span><span style="position: absolute; clip: rect(1.553em 999.982em 2.42em -0.493em); top: -1.918em; left: 0.499em;"><span class="mn" id="MathJax-Span-293" style="font-size: 70.7%; font-family: MathJax_Main;">2</span><span style="display: inline-block; width: 0px; height: 2.235em;"></span></span></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.235em;"></span></span></span><span style="border-left-width: 0.004em; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 1.504em; vertical-align: -0.446em;"></span></span></nobr></span><script type="math/asciimath" id="MathJax-Element-57">a_2^3</script></button>
<button class="btn1" id="click1" onclick="formatText(document.getElementById(&#39;MathInput1&#39;),&#39;&#39;,&#39;a^n&#39;) + formatText(document.getElementById(&#39;inputText&#39;),&#39;&#39;,&#39;`a/b`&#39;)">
                    <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-58-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-294" style="width: 1.305em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.057em; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(1.305em 999.982em 2.42em -0.493em); top: -2.228em; left: 0.003em;"><span class="mrow" id="MathJax-Span-295"><span class="mstyle" id="MathJax-Span-296"><span class="mrow" id="MathJax-Span-297"><span class="msup" id="MathJax-Span-298"><span style="display: inline-block; position: relative; width: 0.995em; height: 0px;"><span style="position: absolute; clip: rect(1.615em 999.982em 2.42em -0.493em); top: -2.228em; left: 0.003em;"><span class="mi" id="MathJax-Span-299" style="font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 2.235em;"></span></span><span style="position: absolute; top: -2.662em; left: 0.499em;"><span class="mi" id="MathJax-Span-300" style="font-size: 70.7%; font-family: MathJax_Math; font-style: italic;">n</span><span style="display: inline-block; width: 0px; height: 2.235em;"></span></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.235em;"></span></span></span><span style="border-left-width: 0.004em; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 1.054em; vertical-align: -0.071em;"></span></span></nobr></span><script type="math/asciimath" id="MathJax-Element-58">a^n</script></button>
<button class="btn1" id="click1" onclick="formatText(document.getElementById(&#39;MathInput1&#39;),&#39;&#39;,&#39;√&#39;) + formatText(document.getElementById(&#39;inputText&#39;),&#39;&#39;,&#39;`√`&#39;)">
                    <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-59-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-301" style="width: 1.553em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.243em; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(1.243em 999.982em 2.854em -0.431em); top: -2.29em; left: 0.003em;"><span class="mrow" id="MathJax-Span-302"><span class="mstyle" id="MathJax-Span-303" style=""><span class="mrow" id="MathJax-Span-304"><span class="mo" id="MathJax-Span-305" style=""><span style="font-family: MathJax_Size1;">√</span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.296em;"></span></span></span><span style="border-left-width: 0.004em; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 1.579em; vertical-align: -0.521em;"></span></span></nobr></span><script type="math/asciimath" id="MathJax-Element-59">√</script></button>
<button class="btn1" id="click1" onclick="formatText(document.getElementById(&#39;MathInput1&#39;),&#39;&#39;,&#39;sqrt(a)&#39;) + formatText(document.getElementById(&#39;inputText&#39;),&#39;&#39;,&#39;`sqrt(a)`&#39;)" style="width: 44px !important">
                    <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-60-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-306" style="width: 1.677em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.367em; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(1.491em 999.982em 2.854em -0.493em); top: -2.352em; left: 0.003em;"><span class="mrow" id="MathJax-Span-307"><span class="mstyle" id="MathJax-Span-308"><span class="mrow" id="MathJax-Span-309"><span class="msqrt" id="MathJax-Span-310"><span style="display: inline-block; position: relative; width: 1.305em; height: 0px;"><span style="position: absolute; clip: rect(1.615em 999.982em 2.42em -0.493em); top: -2.228em; left: 0.809em;"><span class="mrow" id="MathJax-Span-311"><span class="mrow" id="MathJax-Span-312"><span class="mi" id="MathJax-Span-313" style="font-family: MathJax_Math; font-style: italic;">a</span></span></span><span style="display: inline-block; width: 0px; height: 2.235em;"></span></span><span style="position: absolute; clip: rect(0.871em 999.982em 1.305em -0.555em); top: -1.732em; left: 0.809em;"><span style="border-left-width: 0.499em; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 1.25px; vertical-align: -0.059em;"></span><span style="display: inline-block; width: 0px; height: 1.057em;"></span></span><span style="position: absolute; clip: rect(3.04em 999.982em 4.404em -0.493em); top: -3.902em; left: 0.003em;"><span style="font-family: MathJax_Main;">√</span><span style="display: inline-block; width: 0px; height: 4.032em;"></span></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.358em;"></span></span></span><span style="border-left-width: 0.004em; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 1.354em; vertical-align: -0.446em;"></span></span></nobr></span><script type="math/asciimath" id="MathJax-Element-60">sqrt(a)</script></button>
<button class="btn1" id="click1" onclick="formatText(document.getElementById(&#39;MathInput1&#39;),&#39;&#39;,&#39;root(a)(b)&#39;) + formatText(document.getElementById(&#39;inputText&#39;),&#39;&#39;,&#39;`root(a)(b)`&#39;)">
                    <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-61-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-314" style="width: 1.615em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.305em; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(1.367em 999.982em 2.73em -0.493em); top: -2.352em; left: 0.003em;"><span class="mrow" id="MathJax-Span-315"><span class="mstyle" id="MathJax-Span-316"><span class="mrow" id="MathJax-Span-317"><span class="mroot" id="MathJax-Span-318"><span style="display: inline-block; position: relative; width: 1.243em; height: 0px;"><span style="position: absolute; clip: rect(1.367em 999.982em 2.42em -0.493em); top: -2.228em; left: 0.809em;"><span class="mi" id="MathJax-Span-319" style="font-family: MathJax_Math; font-style: italic;">b</span><span style="display: inline-block; width: 0px; height: 2.235em;"></span></span><span style="position: absolute; clip: rect(0.871em 999.982em 1.305em -0.555em); top: -1.856em; left: 0.809em;"><span style="border-left-width: 0.437em; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 1.25px; vertical-align: -0.059em;"></span><span style="display: inline-block; width: 0px; height: 1.057em;"></span></span><span style="position: absolute; clip: rect(3.04em 999.982em 4.404em -0.493em); top: -4.026em; left: 0.003em;"><span style="font-family: MathJax_Main;">√</span><span style="display: inline-block; width: 0px; height: 4.032em;"></span></span><span style="position: absolute; clip: rect(1.801em 999.982em 2.42em -0.555em); top: -2.662em; left: 0.313em;"><span class="mi" id="MathJax-Span-320" style="font-size: 50%; font-family: MathJax_Math; font-style: italic;">a</span><span style="display: inline-block; width: 0px; height: 2.235em;"></span></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.358em;"></span></span></span><span style="border-left-width: 0.004em; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 1.354em; vertical-align: -0.296em;"></span></span></nobr></span><script type="math/asciimath" id="MathJax-Element-61">rootab</script></button>
<button class="btn1" id="click1" onclick="formatText(document.getElementById(&#39;MathInput1&#39;),&#39;&#39;,&#39;{::}_(\ 92)^238U&#39;) + formatText(document.getElementById(&#39;inputText&#39;),&#39;&#39;,&#39;`{::}_(\ 92)^238U`&#39;)" style="width: 47px !important">
                    <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-62-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-321" style="width: 2.42em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.987em; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(1.243em 999.982em 2.73em -0.555em); top: -2.228em; left: 0.003em;"><span class="mrow" id="MathJax-Span-322"><span class="mstyle" id="MathJax-Span-323"><span class="mrow" id="MathJax-Span-324"><span class="mrow" id="MathJax-Span-325"><span class="msubsup" id="MathJax-Span-326"><span style="display: inline-block; position: relative; width: 1.181em; height: 0px;"><span style="position: absolute; clip: rect(3.846em 999.982em 4.218em -0.555em); top: -4.026em; left: 0.003em;"><span class="mrow" id="MathJax-Span-327"></span><span style="display: inline-block; width: 0px; height: 4.032em;"></span></span><span style="position: absolute; clip: rect(1.553em 999.982em 2.42em -0.493em); top: -2.6em; left: 0.003em;"><span class="mn" id="MathJax-Span-328" style="font-size: 70.7%; font-family: MathJax_Main;">238</span><span style="display: inline-block; width: 0px; height: 2.235em;"></span></span><span style="position: absolute; clip: rect(1.553em 999.982em 2.42em -0.555em); top: -1.918em; left: 0.003em;"><span class="mrow" id="MathJax-Span-329"><span class="mo" id="MathJax-Span-330" style="font-size: 70.7%; font-family: MathJax_Main;">&nbsp;</span><span class="mn" id="MathJax-Span-331" style="font-size: 70.7%; font-family: MathJax_Main;">92</span></span><span style="display: inline-block; width: 0px; height: 2.235em;"></span></span></span></span></span><span class="mi" id="MathJax-Span-332" style="font-family: MathJax_Math; font-style: italic;">U<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.065em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.235em;"></span></span></span><span style="border-left-width: 0.004em; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 1.579em; vertical-align: -0.446em;"></span></span></nobr></span><script type="math/asciimath" id="MathJax-Element-62">{::}_(\ 92)^238U</script></button>
</div>
<div id="charec-ducpham1">
<button class="btn2" id="click1" onclick="formatText(document.getElementById(&#39;MathInput1&#39;),&#39;&#39;,&#39;sum(a)&#39;) + formatText(document.getElementById(&#39;inputText&#39;),&#39;&#39;,&#39;`sum(a)`&#39;)">
                    <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-63-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-333" style="width: 3.846em; display: inline-block;"><span style="display: inline-block; position: relative; width: 3.164em; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(2.049em 999.982em 3.784em -0.493em); top: -3.158em; left: 0.003em;"><span class="mrow" id="MathJax-Span-334"><span class="mstyle" id="MathJax-Span-335"><span class="mrow" id="MathJax-Span-336"><span class="mo" id="MathJax-Span-337" style="font-family: MathJax_Size2; vertical-align: 0.003em;">∑</span><span class="mrow" id="MathJax-Span-338"><span class="mo" id="MathJax-Span-339" style=""><span style="font-family: MathJax_Main;">(</span></span><span class="mi" id="MathJax-Span-340" style="font-family: MathJax_Math; font-style: italic;">a</span><span class="mo" id="MathJax-Span-341" style=""><span style="font-family: MathJax_Main;">)</span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.164em;"></span></span></span><span style="border-left-width: 0.004em; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 1.879em; vertical-align: -0.596em;"></span></span></nobr></span><script type="math/asciimath" id="MathJax-Element-63">sum(a)</script></button>
<button class="btn2" id="click1" onclick="formatText(document.getElementById(&#39;MathInput1&#39;),&#39;&#39;,&#39;lim_(a-&gt;+oo) fa&#39;) + formatText(document.getElementById(&#39;inputText&#39;),&#39;&#39;,&#39;`lim_(a-&gt;+oo) fa`&#39;)">
                    <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-64-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-342" style="width: 4.838em; display: inline-block;"><span style="display: inline-block; position: relative; width: 3.97em; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(1.367em 999.982em 3.164em -0.555em); top: -2.228em; left: 0.003em;"><span class="mrow" id="MathJax-Span-343"><span class="mstyle" id="MathJax-Span-344"><span class="mrow" id="MathJax-Span-345"><span class="munder" id="MathJax-Span-346"><span style="display: inline-block; position: relative; width: 2.668em; height: 0px;"><span style="position: absolute; clip: rect(1.367em 999.982em 2.42em -0.555em); top: -2.228em; left: 0.561em;"><span class="mo" id="MathJax-Span-347" style="font-family: MathJax_Main;">lim</span><span style="display: inline-block; width: 0px; height: 2.235em;"></span></span><span style="position: absolute; clip: rect(1.615em 999.982em 2.606em -0.555em); top: -1.608em; left: 0.003em;"><span class="mrow" id="MathJax-Span-348"><span class="mi" id="MathJax-Span-349" style="font-size: 70.7%; font-family: MathJax_Math; font-style: italic;">a</span><span class="mo" id="MathJax-Span-350" style="font-size: 70.7%; font-family: MathJax_Main;">→</span><span class="mo" id="MathJax-Span-351" style="font-size: 70.7%; font-family: MathJax_Main;">+</span><span class="mo" id="MathJax-Span-352" style="font-size: 70.7%; font-family: MathJax_Main;">∞</span></span><span style="display: inline-block; width: 0px; height: 2.235em;"></span></span></span></span><span class="mrow" id="MathJax-Span-353" style="padding-left: 0.189em;"><span class="mi" id="MathJax-Span-354" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.065em;"></span></span><span class="mi" id="MathJax-Span-355" style="font-family: MathJax_Math; font-style: italic;">a</span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.235em;"></span></span></span><span style="border-left-width: 0.004em; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 1.954em; vertical-align: -0.971em;"></span></span></nobr></span><script type="math/asciimath" id="MathJax-Element-64">lim_(a->+oo) fa</script></button>
<button class="btn2" id="click1" onclick="formatText(document.getElementById(&#39;MathInput1&#39;),&#39;&#39;,&#39;x^2+y_1+z_12^34&#39;) + formatText(document.getElementById(&#39;inputText&#39;),&#39;&#39;,&#39;`x^2+y_1+z_12^34`&#39;)">
                    <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-65-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-356" style="width: 7.627em; display: inline-block;"><span style="display: inline-block; position: relative; width: 6.263em; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(1.181em 999.982em 2.73em -0.493em); top: -2.228em; left: 0.003em;"><span class="mrow" id="MathJax-Span-357"><span class="mstyle" id="MathJax-Span-358"><span class="mrow" id="MathJax-Span-359"><span class="msup" id="MathJax-Span-360"><span style="display: inline-block; position: relative; width: 0.995em; height: 0px;"><span style="position: absolute; clip: rect(1.615em 999.982em 2.42em -0.493em); top: -2.228em; left: 0.003em;"><span class="mi" id="MathJax-Span-361" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 2.235em;"></span></span><span style="position: absolute; top: -2.662em; left: 0.561em;"><span class="mn" id="MathJax-Span-362" style="font-size: 70.7%; font-family: MathJax_Main;">2</span><span style="display: inline-block; width: 0px; height: 2.235em;"></span></span></span></span><span class="mo" id="MathJax-Span-363" style="font-family: MathJax_Main; padding-left: 0.251em;">+</span><span class="msub" id="MathJax-Span-364" style="padding-left: 0.251em;"><span style="display: inline-block; position: relative; width: 0.995em; height: 0px;"><span style="position: absolute; clip: rect(1.615em 999.982em 2.606em -0.555em); top: -2.228em; left: 0.003em;"><span class="mi" id="MathJax-Span-365" style="font-family: MathJax_Math; font-style: italic;">y<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 2.235em;"></span></span><span style="position: absolute; top: -1.98em; left: 0.561em;"><span class="mn" id="MathJax-Span-366" style="font-size: 70.7%; font-family: MathJax_Main;">1</span><span style="display: inline-block; width: 0px; height: 2.235em;"></span></span></span></span><span class="mo" id="MathJax-Span-367" style="font-family: MathJax_Main; padding-left: 0.251em;">+</span><span class="mrow" id="MathJax-Span-368" style="padding-left: 0.251em;"><span class="msubsup" id="MathJax-Span-369"><span style="display: inline-block; position: relative; width: 1.367em; height: 0px;"><span style="position: absolute; clip: rect(1.615em 999.982em 2.42em -0.493em); top: -2.228em; left: 0.003em;"><span class="mi" id="MathJax-Span-370" style="font-family: MathJax_Math; font-style: italic;">z<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 2.235em;"></span></span><span style="position: absolute; clip: rect(1.553em 999.982em 2.42em -0.555em); top: -2.6em; left: 0.561em;"><span class="mn" id="MathJax-Span-371" style="font-size: 70.7%; font-family: MathJax_Main;">34</span><span style="display: inline-block; width: 0px; height: 2.235em;"></span></span><span style="position: absolute; clip: rect(1.553em 999.982em 2.42em -0.493em); top: -1.918em; left: 0.499em;"><span class="mn" id="MathJax-Span-372" style="font-size: 70.7%; font-family: MathJax_Main;">12</span><span style="display: inline-block; width: 0px; height: 2.235em;"></span></span></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.235em;"></span></span></span><span style="border-left-width: 0.004em; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 1.579em; vertical-align: -0.446em;"></span></span></nobr></span><script type="math/asciimath" id="MathJax-Element-65">x^2+y_1+z_12^34</script></button>
<button class="btn2" id="click1" onclick="formatText(document.getElementById(&#39;MathInput1&#39;),&#39;&#39;,&#39;sin^-1(x)&#39;) + formatText(document.getElementById(&#39;inputText&#39;),&#39;&#39;,&#39;`sin^-1(x)`&#39;)">
                    <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-66-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-373" style="width: 5.272em; display: inline-block;"><span style="display: inline-block; position: relative; width: 4.342em; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(1.181em 999.982em 2.668em -0.493em); top: -2.228em; left: 0.003em;"><span class="mrow" id="MathJax-Span-374"><span class="mstyle" id="MathJax-Span-375"><span class="mrow" id="MathJax-Span-376"><span class="msup" id="MathJax-Span-377"><span style="display: inline-block; position: relative; width: 2.482em; height: 0px;"><span style="position: absolute; clip: rect(1.367em 999.982em 2.42em -0.493em); top: -2.228em; left: 0.003em;"><span class="mi" id="MathJax-Span-378" style="font-family: MathJax_Main;">sin</span><span style="display: inline-block; width: 0px; height: 2.235em;"></span></span><span style="position: absolute; top: -2.662em; left: 1.305em;"><span class="mrow" id="MathJax-Span-379"><span class="mo" id="MathJax-Span-380" style="font-size: 70.7%; font-family: MathJax_Main;">−</span><span class="mn" id="MathJax-Span-381" style="font-size: 70.7%; font-family: MathJax_Main;">1</span></span><span style="display: inline-block; width: 0px; height: 2.235em;"></span></span></span></span><span class="mrow" id="MathJax-Span-382"><span class="mo" id="MathJax-Span-383" style=""><span style="font-family: MathJax_Main;">(</span></span><span class="mi" id="MathJax-Span-384" style="font-family: MathJax_Math; font-style: italic;">x</span><span class="mo" id="MathJax-Span-385" style=""><span style="font-family: MathJax_Main;">)</span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.235em;"></span></span></span><span style="border-left-width: 0.004em; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 1.504em; vertical-align: -0.371em;"></span></span></nobr></span><script type="math/asciimath" id="MathJax-Element-66">sin^-1(x)</script></button>
<button class="btn2" id="click1" onclick="formatText(document.getElementById(&#39;MathInput1&#39;),&#39;&#39;,&#39;int_0^1f(x)dx&#39;) + formatText(document.getElementById(&#39;inputText&#39;),&#39;&#39;,&#39;`int_0^1f(x)dx`&#39;)">
                    <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-67-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-386" style="width: 6.387em; display: inline-block;"><span style="display: inline-block; position: relative; width: 5.272em; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(0.499em 999.982em 3.35em -0.493em); top: -2.228em; left: 0.003em;"><span class="mrow" id="MathJax-Span-387"><span class="mstyle" id="MathJax-Span-388"><span class="mrow" id="MathJax-Span-389"><span class="mrow" id="MathJax-Span-390"><span class="msubsup" id="MathJax-Span-391"><span style="display: inline-block; position: relative; width: 1.615em; height: 0px;"><span style="position: absolute; clip: rect(1.615em 999.982em 4.218em -0.493em); top: -3.158em; left: 0.003em;"><span class="mo" id="MathJax-Span-392" style="font-family: MathJax_Size2; vertical-align: 0.003em;">∫<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.375em;"></span></span><span style="display: inline-block; width: 0px; height: 3.164em;"></span></span><span style="position: absolute; clip: rect(1.553em 999.982em 2.42em -0.493em); top: -3.344em; left: 1.181em;"><span class="mn" id="MathJax-Span-393" style="font-size: 70.7%; font-family: MathJax_Main;">1</span><span style="display: inline-block; width: 0px; height: 2.235em;"></span></span><span style="position: absolute; clip: rect(1.553em 999.982em 2.42em -0.555em); top: -1.361em; left: 0.623em;"><span class="mn" id="MathJax-Span-394" style="font-size: 70.7%; font-family: MathJax_Main;">0</span><span style="display: inline-block; width: 0px; height: 2.235em;"></span></span></span></span></span><span class="mrow" id="MathJax-Span-395" style="padding-left: 0.189em;"><span class="mi" id="MathJax-Span-396" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.065em;"></span></span><span class="mrow" id="MathJax-Span-397"><span class="mo" id="MathJax-Span-398" style=""><span style="font-family: MathJax_Main;">(</span></span><span class="mi" id="MathJax-Span-399" style="font-family: MathJax_Math; font-style: italic;">x</span><span class="mo" id="MathJax-Span-400" style=""><span style="font-family: MathJax_Main;">)</span></span></span></span><span class="mrow" id="MathJax-Span-401"><span class="mi" id="MathJax-Span-402" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mi" id="MathJax-Span-403" style="font-family: MathJax_Math; font-style: italic;">x</span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.235em;"></span></span></span><span style="border-left-width: 0.004em; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 3.154em; vertical-align: -1.196em;"></span></span></nobr></span><script type="math/asciimath" id="MathJax-Element-67">int_0^1f(x)dx</script></button>
<button class="btn2" id="click1" onclick="formatText(document.getElementById(&#39;MathInput1&#39;),&#39;&#39;,&#39;[[a,b],[c,d]]((n),(k))&#39;) + formatText(document.getElementById(&#39;inputText&#39;),&#39;&#39;,&#39;`[[a,b],[c,d]]((n),(k))`&#39;)" style="width: 163px">
                    <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-68-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-404" style="width: 9.549em; display: inline-block;"><span style="display: inline-block; position: relative; width: 7.875em; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(1.677em 999.982em 4.404em -0.307em); top: -3.282em; left: 0.003em;"><span class="mrow" id="MathJax-Span-405"><span class="mstyle" id="MathJax-Span-406"><span class="mrow" id="MathJax-Span-407"><span class="mrow" id="MathJax-Span-408"><span class="mo" id="MathJax-Span-409" style="vertical-align: 0.003em;"><span style="font-family: MathJax_Size3;">[</span></span><span class="mtable" id="MathJax-Span-410" style="padding-right: 0.189em; padding-left: 0.189em;"><span style="display: inline-block; position: relative; width: 2.606em; height: 0px;"><span style="position: absolute; clip: rect(2.854em 999.982em 4.9em -0.493em); top: -4.026em; left: 0.003em;"><span style="display: inline-block; position: relative; width: 0.871em; height: 0px;"><span style="position: absolute; clip: rect(1.739em 999.982em 2.544em -0.493em); top: -2.91em; left: 50%; margin-left: -0.431em;"><span class="mtd" id="MathJax-Span-411"><span class="mrow" id="MathJax-Span-412"><span class="mi" id="MathJax-Span-413" style="font-family: MathJax_Math; font-style: italic;">a</span></span></span><span style="display: inline-block; width: 0px; height: 2.358em;"></span></span><span style="position: absolute; clip: rect(1.739em 999.982em 2.544em -0.493em); top: -1.732em; left: 50%; margin-left: -0.369em;"><span class="mtd" id="MathJax-Span-417"><span class="mrow" id="MathJax-Span-418"><span class="mi" id="MathJax-Span-419" style="font-family: MathJax_Math; font-style: italic;">c</span></span></span><span style="display: inline-block; width: 0px; height: 2.358em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.032em;"></span></span><span style="position: absolute; clip: rect(2.606em 999.982em 4.9em -0.493em); top: -4.026em; left: 1.677em;"><span style="display: inline-block; position: relative; width: 0.933em; height: 0px;"><span style="position: absolute; clip: rect(1.491em 999.982em 2.544em -0.493em); top: -2.91em; left: 50%; margin-left: -0.369em;"><span class="mtd" id="MathJax-Span-414"><span class="mrow" id="MathJax-Span-415"><span class="mi" id="MathJax-Span-416" style="font-family: MathJax_Math; font-style: italic;">b</span></span></span><span style="display: inline-block; width: 0px; height: 2.358em;"></span></span><span style="position: absolute; clip: rect(1.491em 999.982em 2.544em -0.493em); top: -1.732em; left: 50%; margin-left: -0.431em;"><span class="mtd" id="MathJax-Span-420"><span class="mrow" id="MathJax-Span-421"><span class="mi" id="MathJax-Span-422" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.358em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.032em;"></span></span></span></span><span class="mo" id="MathJax-Span-423" style="vertical-align: 0.003em;"><span style="font-family: MathJax_Size3;">]</span></span></span><span class="mrow" id="MathJax-Span-424"><span class="mo" id="MathJax-Span-425" style="vertical-align: 0.003em;"><span style="font-family: MathJax_Size3;">(</span></span><span class="mtable" id="MathJax-Span-426" style="padding-right: 0.189em; padding-left: 0.189em;"><span style="display: inline-block; position: relative; width: 0.995em; height: 0px;"><span style="position: absolute; clip: rect(2.854em 999.982em 4.9em -0.555em); top: -4.026em; left: 0.003em;"><span style="display: inline-block; position: relative; width: 0.995em; height: 0px;"><span style="position: absolute; clip: rect(1.739em 999.982em 2.544em -0.555em); top: -2.91em; left: 50%; margin-left: -0.493em;"><span class="mtd" id="MathJax-Span-427"><span class="mrow" id="MathJax-Span-428"><span class="mi" id="MathJax-Span-429" style="font-family: MathJax_Math; font-style: italic;">n</span></span></span><span style="display: inline-block; width: 0px; height: 2.358em;"></span></span><span style="position: absolute; clip: rect(1.491em 999.982em 2.544em -0.493em); top: -1.732em; left: 50%; margin-left: -0.431em;"><span class="mtd" id="MathJax-Span-430"><span class="mrow" id="MathJax-Span-431"><span class="mi" id="MathJax-Span-432" style="font-family: MathJax_Math; font-style: italic;">k</span></span></span><span style="display: inline-block; width: 0px; height: 2.358em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.032em;"></span></span></span></span><span class="mo" id="MathJax-Span-433" style="vertical-align: 0.003em;"><span style="font-family: MathJax_Size3;">)</span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 3.288em;"></span></span></span><span style="border-left-width: 0.004em; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 3.079em; vertical-align: -1.196em;"></span></span></nobr></span><script type="math/asciimath" id="MathJax-Element-68">[[a,b],[c,d]]((n),(k))</script></button>
<button class="btn2" id="click1" onclick="formatText(document.getElementById(&#39;MathInput1&#39;),&#39;&#39;,&#39;sum_(n=0)^oo fx&#39;) + formatText(document.getElementById(&#39;inputText&#39;),&#39;&#39;,&#39;`sum_(n=0)^oo fx`&#39;)">
                    <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-69-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-434" style="width: 3.536em; display: inline-block;"><span style="display: inline-block; position: relative; width: 2.916em; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(0.623em 999.982em 3.722em -0.555em); top: -2.352em; left: 0.003em;"><span class="mrow" id="MathJax-Span-435"><span class="mstyle" id="MathJax-Span-436"><span class="mrow" id="MathJax-Span-437"><span class="mrow" id="MathJax-Span-438"><span class="munderover" id="MathJax-Span-439"><span style="display: inline-block; position: relative; width: 1.553em; height: 0px;"><span style="position: absolute; clip: rect(2.049em 999.982em 3.784em -0.493em); top: -3.158em; left: 0.065em;"><span class="mo" id="MathJax-Span-440" style="font-family: MathJax_Size2; vertical-align: 0.003em;">∑</span><span style="display: inline-block; width: 0px; height: 3.164em;"></span></span><span style="position: absolute; clip: rect(1.553em 999.982em 2.544em -0.555em); top: -1.113em; left: 0.003em;"><span class="mrow" id="MathJax-Span-441"><span class="mi" id="MathJax-Span-442" style="font-size: 70.7%; font-family: MathJax_Math; font-style: italic;">n</span><span class="mo" id="MathJax-Span-443" style="font-size: 70.7%; font-family: MathJax_Main;">=</span><span class="mn" id="MathJax-Span-444" style="font-size: 70.7%; font-family: MathJax_Main;">0</span></span><span style="display: inline-block; width: 0px; height: 2.235em;"></span></span><span style="position: absolute; clip: rect(1.615em 999.982em 2.42em -0.493em); top: -3.406em; left: 0.375em;"><span class="mo" id="MathJax-Span-445" style="font-size: 70.7%; font-family: MathJax_Main;">∞</span><span style="display: inline-block; width: 0px; height: 2.235em;"></span></span></span></span></span><span class="mrow" id="MathJax-Span-446" style="padding-left: 0.189em;"><span class="mi" id="MathJax-Span-447" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.065em;"></span></span><span class="mi" id="MathJax-Span-448" style="font-family: MathJax_Math; font-style: italic;">x</span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.358em;"></span></span></span><span style="border-left-width: 0.004em; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 3.529em; vertical-align: -1.496em;"></span></span></nobr></span><script type="math/asciimath" id="MathJax-Element-69">sum_(n=0)^oo fx</script></button>
<button class="btn2" id="click1" onclick="formatText(document.getElementById(&#39;MathInput1&#39;),&#39;&#39;,&#39;d/dxf(x) = lim_(h-&gt;0)(f(x+h)-f(x))/h&#39;) + formatText(document.getElementById(&#39;inputText&#39;),&#39;&#39;,&#39;`d/dxf(x) = lim_(h-&gt;0)(f(x+h)-f(x))/h`&#39;)">
                    <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-70-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-449" style="width: 18.908em; display: inline-block;"><span style="display: inline-block; position: relative; width: 15.623em; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(0.685em 999.982em 3.288em -0.431em); top: -2.352em; left: 0.003em;"><span class="mrow" id="MathJax-Span-450"><span class="mstyle" id="MathJax-Span-451"><span class="mrow" id="MathJax-Span-452"><span class="mfrac" id="MathJax-Span-453" style="padding-left: 0.127em; padding-right: 0.127em;"><span style="display: inline-block; position: relative; width: 1.243em; height: 0px;"><span style="position: absolute; clip: rect(1.367em 999.982em 2.42em -0.493em); top: -2.91em; left: 50%; margin-left: -0.245em;"><span class="mi" id="MathJax-Span-454" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span style="display: inline-block; width: 0px; height: 2.235em;"></span></span><span style="position: absolute; clip: rect(1.367em 999.982em 2.42em -0.493em); top: -1.546em; left: 50%; margin-left: -0.555em;"><span class="mrow" id="MathJax-Span-455"><span class="mi" id="MathJax-Span-456" style="font-family: MathJax_Math; font-style: italic;">d<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.003em;"></span></span><span class="mi" id="MathJax-Span-457" style="font-family: MathJax_Math; font-style: italic;">x</span></span><span style="display: inline-block; width: 0px; height: 2.235em;"></span></span><span style="position: absolute; clip: rect(0.809em 999.982em 1.243em -0.555em); top: -1.299em; left: 0.003em;"><span style="border-left-width: 1.243em; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 1.25px; vertical-align: 0.003em;"></span><span style="display: inline-block; width: 0px; height: 1.057em;"></span></span></span></span><span class="mrow" id="MathJax-Span-458" style="padding-left: 0.189em;"><span class="mi" id="MathJax-Span-459" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.065em;"></span></span><span class="mrow" id="MathJax-Span-460"><span class="mo" id="MathJax-Span-461" style=""><span style="font-family: MathJax_Main;">(</span></span><span class="mi" id="MathJax-Span-462" style="font-family: MathJax_Math; font-style: italic;">x</span><span class="mo" id="MathJax-Span-463" style=""><span style="font-family: MathJax_Main;">)</span></span></span></span><span class="mo" id="MathJax-Span-464" style="font-family: MathJax_Main; padding-left: 0.251em;">=</span><span class="munder" id="MathJax-Span-465" style="padding-left: 0.251em;"><span style="display: inline-block; position: relative; width: 1.553em; height: 0px;"><span style="position: absolute; clip: rect(1.367em 999.982em 2.42em -0.555em); top: -2.228em; left: 0.003em;"><span class="mo" id="MathJax-Span-466" style="font-family: MathJax_Main;">lim</span><span style="display: inline-block; width: 0px; height: 2.235em;"></span></span><span style="position: absolute; clip: rect(1.553em 999.982em 2.544em -0.493em); top: -1.546em; left: 0.003em;"><span class="mrow" id="MathJax-Span-467"><span class="mi" id="MathJax-Span-468" style="font-size: 70.7%; font-family: MathJax_Math; font-style: italic;">h</span><span class="mo" id="MathJax-Span-469" style="font-size: 70.7%; font-family: MathJax_Main;">→</span><span class="mn" id="MathJax-Span-470" style="font-size: 70.7%; font-family: MathJax_Main;">0</span></span><span style="display: inline-block; width: 0px; height: 2.235em;"></span></span></span></span><span class="mfrac" id="MathJax-Span-471" style="padding-left: 0.313em; padding-right: 0.127em;"><span style="display: inline-block; position: relative; width: 8.185em; height: 0px;"><span style="position: absolute; clip: rect(1.305em 999.982em 2.668em -0.493em); top: -2.972em; left: 50%; margin-left: -4.026em;"><span class="mrow" id="MathJax-Span-472"><span class="mrow" id="MathJax-Span-473"><span class="mi" id="MathJax-Span-474" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.065em;"></span></span><span class="mrow" id="MathJax-Span-475"><span class="mo" id="MathJax-Span-476" style=""><span style="font-family: MathJax_Main;">(</span></span><span class="mi" id="MathJax-Span-477" style="font-family: MathJax_Math; font-style: italic;">x</span><span class="mo" id="MathJax-Span-478" style="font-family: MathJax_Main; padding-left: 0.251em;">+</span><span class="mi" id="MathJax-Span-479" style="font-family: MathJax_Math; font-style: italic; padding-left: 0.251em;">h</span><span class="mo" id="MathJax-Span-480" style=""><span style="font-family: MathJax_Main;">)</span></span></span></span><span class="mo" id="MathJax-Span-481" style="font-family: MathJax_Main; padding-left: 0.251em;">−</span><span class="mrow" id="MathJax-Span-482" style="padding-left: 0.251em;"><span class="mi" id="MathJax-Span-483" style="font-family: MathJax_Math; font-style: italic;">f<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.065em;"></span></span><span class="mrow" id="MathJax-Span-484"><span class="mo" id="MathJax-Span-485" style=""><span style="font-family: MathJax_Main;">(</span></span><span class="mi" id="MathJax-Span-486" style="font-family: MathJax_Math; font-style: italic;">x</span><span class="mo" id="MathJax-Span-487" style=""><span style="font-family: MathJax_Main;">)</span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.235em;"></span></span><span style="position: absolute; clip: rect(1.367em 999.982em 2.42em -0.493em); top: -1.546em; left: 50%; margin-left: -0.245em;"><span class="mi" id="MathJax-Span-488" style="font-family: MathJax_Math; font-style: italic;">h</span><span style="display: inline-block; width: 0px; height: 2.235em;"></span></span><span style="position: absolute; clip: rect(0.809em 999.982em 1.243em -0.555em); top: -1.299em; left: 0.003em;"><span style="border-left-width: 8.185em; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 1.25px; vertical-align: 0.003em;"></span><span style="display: inline-block; width: 0px; height: 1.057em;"></span></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.358em;"></span></span></span><span style="border-left-width: 0.004em; border-left-style: solid; display: inline-block; overflow: hidden; width: 0px; height: 2.929em; vertical-align: -0.971em;"></span></span></nobr></span><script type="math/asciimath" id="MathJax-Element-70">d/dxf(x) = lim_(h->0)(f(x+h)-f(x))/h</script></button>
<button class="btn2" id="click1" onclick="formatText(document.getElementById(&#39;MathInput1&#39;),&#39;&#39;,&#39;{(ax^2 + bx + c = 0, text{ Với }  a !=0), (mx^2 + nx + z = 0, text{ Với }  m !=0):}&#39;) + formatText(document.getElementById(&#39;inputText&#39;),&#39;&#39;,&#39;`{(ax^2 + bx + c = 0, text{ Với }  a !=0), (mx^2 + nx + z = 0, text{ Với }  m !=0):}`&#39;)">
                    <span class="MathJax_Preview"></span><span class="MathJax" id="MathJax-Element-71-Frame" role="textbox" aria-readonly="true" style=""><nobr><span class="math" id="MathJax-Span-489" style="width: 20.272em; display: inline-block;"><span style="display: inline-block; position: relative; width: 16.739em; height: 0px; font-size: 121%;"><span style="position: absolute; clip: rect(1.987em 999.982em 5.334em -0.431em); top: -3.902em; left: 0.003em;"><span class="mrow" id="MathJax-Span-490"><span class="mstyle" id="MathJax-Span-491"><span class="mrow" id="MathJax-Span-492"><span class="mrow" id="MathJax-Span-493"><span class="mo" id="MathJax-Span-494" style="vertical-align: 0.003em;"><span style="font-family: MathJax_Size4;">{</span></span><span class="mtable" id="MathJax-Span-495" style="padding-right: 0.189em; padding-left: 0.189em;"><span style="display: inline-block; position: relative; width: 15.251em; height: 0px;"><span style="position: absolute; clip: rect(2.296em 999.982em 5.148em -0.555em); top: -4.026em; left: 0.003em;"><span style="display: inline-block; position: relative; width: 8.495em; height: 0px;"><span style="position: absolute; clip: rect(1.305em 999.982em 2.606em -0.493em); top: -3.034em; left: 0.003em;"><span class="mtd" id="MathJax-Span-496"><span class="mrow" id="MathJax-Span-497"><span class="mi" id="MathJax-Span-498" style="font-family: MathJax_Math; font-style: italic;">a</span><span class="msup" id="MathJax-Span-499"><span style="display: inline-block; position: relative; width: 0.995em; height: 0px;"><span style="position: absolute; clip: rect(1.615em 999.982em 2.42em -0.493em); top: -2.228em; left: 0.003em;"><span class="mi" id="MathJax-Span-500" style="font-family: MathJax_Math; font-style: italic;">x</span><span style="display: inline-block; width: 0px; height: 2.235em;"></span></span><span style="position: absolute; top: -2.662em; left: 0.561em;"><span class="mn" id="MathJax-Span-501" style="font-size: 70.7%; font-family: MathJax_Main;">2</span><span style="display: inline-block; 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